Elliptic curve data - 277440.g2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '277440g', 'Clabel': '277440g3', 'Cnumber': 3, 'abc_quality': 1.0609933840271915, 'absD': 2614607137896969881432899584000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -3624818721, 31681049059521], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 277440, 'degree': 495452160, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5295432693603037791530059529', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [1664865424893526702418, 826424127435466125], 'lmfdb_iso': '277440.g', 'lmfdb_label': '277440.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3135656, -807066000], 'min_quad_twist_disc': -136, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0.v.1', '68.12.0-4.c.1.2', '120.24.0.?', '408.24.0.?', '680.24.0.?', '2040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1445], [3, 4, 18496], [5, 6, 55488], [7, 2, 92480], [17, 162, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1309780915389398840204931386', 'prec': 100}, 'szpiro_ratio': 6.195211304144721, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, -1, 0, -1, 0, -4, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 4, 0], 'aplist': [0, -1, -1, -4, 0, -2, 0, 4, 8, -6, 0, -6, -2, 4, -8, -10, 8, 6, 4, -8, -10, 0, 12, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 277440, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '277440.g', 'trace_hash': 938369117370982640}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.00011632919027796403590750439347', 'prec': 113}, 'conductor': 277440, 'gens': [], 'heights': [], 'lmfdb_label': '277440.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.022722718746764003501616460017', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.090890874987056014006465840068845283081', 'prec': 137}, 'tamagawa_product': 16, 'torsion_generators': [[55239, 0, 1]], 'xcoord_integral_points': [55239]}
• lmfdb_label 277440.g2 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 11824536
    {'degree': 2, 'field': [-170, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [4]}
  • id: 11824534
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 2]}
  • id: 11824535
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '277440.g2', 'torsion': [4]}
  • id: 11824537
    {'degree': 4, 'field': [26, 28, -27, -2, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 4]}
  • id: 11824541
    {'degree': 8, 'field': [-867, 0, 2074, 0, 102, 0, 0, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [6]}
  • id: 11824539
    {'degree': 8, 'field': [1198, 1464, -980, -920, 341, 140, -42, -4, 1], 'lmfdb_label': '277440.g2', 'torsion': [8]}
  • id: 11824540
    {'degree': 8, 'field': [45796, 0, -9708, 0, 1229, 0, -12, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [8]}
  • id: 11824538
    {'degree': 8, 'field': [62001, 0, 27812, 0, 1654, 0, 68, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 4]}
  • id: 11824546
    {'degree': 16, 'field': [144, 0, 23904, 0, -19160, 0, 3024, 0, -339, 0, 354, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [12]}
  • id: 11824543
    {'degree': 16, 'field': [31594, 418488, 204500, -868456, -393094, 686112, 225752, -281544, -52805, 64344, 3904, -7880, 282, 448, -44, -8, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 8]}
  • id: 11824542
    {'degree': 16, 'field': [715716, 0, -573264, 0, 147100, 0, -12096, 0, 15749, 0, 4284, 0, 590, 0, 36, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [4, 4]}
  • id: 11824544
    {'degree': 16, 'field': [4318696, 850064, -865424, -51904, 224966, -216652, 32598, 37988, -11623, -2924, 4602, -1796, -4, 112, 4, -8, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 8]}
  • id: 11824545
    {'degree': 16, 'field': [29920900, 0, -5958320, 0, 1480924, 0, 108240, 0, -43920, 0, -4836, 0, -80, 0, -20, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [2, 6]}
  • id: 11824547
    {'degree': 16, 'field': [20771439129, 0, 2574609084, 0, -610610252, 0, -14878224, 0, 2270550, 0, 23748, 0, -2256, 0, 0, 0, 1], 'lmfdb_label': '277440.g2', 'torsion': [12]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 6872430
    {'conductor': 277440, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '277440.g2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6872431
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '277440.g2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6872432
    {'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '277440.g2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6872433
    {'conductor': 277440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '277440.g2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3415604
    {'adelic_gens': [[7, 6, 2034, 2035], [1597, 884, 238, 339], [1616, 1683, 1445, 1922], [1361, 1088, 884, 273], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1799, 0, 0, 2039], [2033, 8, 2032, 9], [1512, 1207, 1853, 186]], 'adelic_image': '2040.48.0.?', 'conductor': 277440, 'lmfdb_label': '277440.g2', 'prime': 0}
  • id: 988671
    {'conductor': 277440, 'elladic_image': '4.6.0.1', 'lmfdb_label': '277440.g2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 277440.g does not appear in ec_padic